A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations

DOI10.1137/090756995zbMath1215.65148OpenAlexW2076853808MaRDI QIDQ3078548

Panagiotis Chatzipantelidis, Georgios D. Akrivis

Publication date: 28 February 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://preprints.acmac.uoc.gr/169/1/acmac-0169.pdf

zbMATH Keywords

numerical experimentsparabolic equationsa posteriori error analysisbackward Euler schemetwo-step backward differentiation formula methodreconstructions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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